4.7 Article

Random adsorption process of linear k-mers on square lattices under the Achlioptas process

期刊

PHYSICAL REVIEW E
卷 105, 期 6, 页码 -

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.105.064116

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资金

  1. Fundamental Research Funds for the Central Universities [2021XD-A10, 2020RC13]
  2. Natural Science Foundation of China (NSFC) [12005024, 12174194]
  3. Nanjing University of Aeronautics and Astronautics [1008-YAH20006]
  4. Top-notch Academic Programs Project of Jiangsu Higher Education Institutions (TAPP) [190101]
  5. basic institute research [190101]

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In this study, we investigate explosive percolation with k-mer random sequential adsorption process. We analyze both the Achlioptas process (AP) and the inverse Achlioptas process (IAP) and determine the percolation threshold and critical exponents using finite-size scaling analysis. The results show that the percolation transitions are continuous, and the universality class of the k-mer explosive percolation transition can be determined.
We study the explosive percolation with k-mer random sequential adsorption (RSA) process. We consider both the Achlioptas process (AP) and the inverse Achlioptas process (IAP), in which giant cluster formation is prohibited and accelerated, respectively. By employing finite-size scaling analysis, we confirm that the percolation transitions are continuous, and thus we calculate the percolation threshold and critical exponents. This allows us to determine the universality class of the k-mer explosive percolation transition. Interestingly, the numerical simulation suggests that the universality class of the explosive percolation transition with the AP alters when the k-mer size changes. In contrast, the universality class of the transition with the IAP is independent of k, but it differs from that of the RSA without the IAP.

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